Answer:
Solving systems of equations with 3 variables is very similar to how we solve systems with two variables. When we had two variables we reduced the system down
to one with only one variable (by substitution or addition). With three variables
we will reduce the system down to one with two variables (usually by addition),
which we can then solve by either addition or substitution.
To reduce from three variables down to two it is very important to keep the work
organized. We will use addition with two equations to eliminate one variable.
This new equation we will call (A). Then we will use a different pair of equations
and use addition to eliminate the same variable. This second new equation we
will call (B). Once we have done this we will have two equations (A) and (B)
with the same two variables that we can solve using either method. This is shown
in the following examples.
Example 1.
3x +2y − z = − 1
− 2x − 2y +3z = 5 We will eliminate y using two different pairs of equations
5x +2y − z = 3
Step-by-step explanation:
Answer:
140 W
Step-by-step explanation:
Power is measured in joules per second, or watts. A joule is a measure of energy equal to 1 newton-meter. These unit relationships tell you how to combine the numbers:
power = (35 N)(20 m)/(5 s) = (35·20/5) N·m/s = 140 J/s = 140 W
16. 40%。17. 0.8
Addition and subtraction
Answer:
7 bags
Step-by-step explanation:
We solve using Greatest Common Factor Method
We have:
14 raspberry scones and 21 strawberry scones
We find the factors of 14 and 21
The factors of 14 are: 1, 2, 7, 14
The factors of 21 are: 1, 3, 7, 21
Then the greatest common factor is 7.
Therefore, the greatest number of bags Bryson can fill is 7 bags
